We describe a method for solving the Poisson equation on a surface in R3, which,
via the introduction of conformal coordinates, reduces the problem to that of
solving a system of Fredholm equations of second kind on a union of smooth
curves in the plane.
Publié le : 2010-05-15
Classification:
Hamiltonian actions,
Real structures,
equivariant cohomology,
35J05,
35Q15,
45B05,
30F10
@article{1270646492,
author = {Epstein , Charles L. and Greengard , Leslie},
title = {Solving the Poisson Equation on a Surface by Reduction to a
1-Dimensional Problem},
journal = {Commun. Math. Anal.},
volume = {8},
number = {1},
year = {2010},
pages = { 26-40},
language = {en},
url = {http://dml.mathdoc.fr/item/1270646492}
}
Epstein , Charles L.; Greengard , Leslie. Solving the Poisson Equation on a Surface by Reduction to a
1-Dimensional Problem. Commun. Math. Anal., Tome 8 (2010) no. 1, pp. 26-40. http://gdmltest.u-ga.fr/item/1270646492/